Hi,
Roots of unity is a very easy topic for me, though i am misunderstanding one small part of it which i wish to rectify.
Here's an example:
Where n is an integer, i is the complex number and e an exponential.
Now i undertand the use of 2pi i n, as its roots of unity and therefore will go back to being equal to 1.
However i don't understand why we pluck in the 2 pi i n in the second step, rather than the first or the last. By raising to the power that induces the 2 pi i n to appear? Why?

Can you please explain how this question has anything to do with roots of unity/
It does not make any sense to me.

Well it might not be, but its under the same area in my notes, the section starts of with: where k is an integer.
Then it extrapolates by bringing in n rootsOh i also made a mistake there, the last z should not be raised to the 6.

That is still nonsense as far as I can read it.
Why don't you simply post a clear question?